21342145321200 has 240 divisors, whose sum is σ = 74588580775296. Its totient is φ = 5173334246400.

The previous prime is 21342145321177. The next prime is 21342145321241. The reversal of 21342145321200 is 212354124312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21342145321200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140728614 + ... + 140880186.

Almost surely, 2^{21342145321200} is an apocalyptic number.

21342145321200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21342145321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37294290387648).

21342145321200 is an abundant number, since it is smaller than the sum of its proper divisors (53246435454096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21342145321200 is a wasteful number, since it uses less digits than its factorization.

21342145321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162272 (or 162261 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 21342145321200 its reverse (212354124312), we get a palindrome (21554499445512).

The spelling of 21342145321200 in words is "twenty-one trillion, three hundred forty-two billion, one hundred forty-five million, three hundred twenty-one thousand, two hundred".